A restricted growth word approach to partitions with odd/even size blocks

Richard Ehrenborg; Dustin Hedmark; Cyrus Hettle

A restricted growth word approach to partitions with odd/even size blocks

Richard Ehrenborg, Dustin Hedmark, Cyrus Hettle

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We use restricted growth words and multivariate generating functionology to obtain the ordinary generating function for the number of partitions of an n-set into k blocks of odd (respectively, even) cardinality.

Original language	English
Journal	Journal of Integer Sequences
Volume	20
Issue number	5
State	Published - 2017

Bibliographical note

Publisher Copyright:
© 2017, (publisher Name). All Rights Reserved.

Keywords

Multivariate generating function
Restricted growth word
Set partition

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics

Cite this

@article{4ea806a02b8c43a38d24691c0bdb6e02,

title = "A restricted growth word approach to partitions with odd/even size blocks",

abstract = "We use restricted growth words and multivariate generating functionology to obtain the ordinary generating function for the number of partitions of an n-set into k blocks of odd (respectively, even) cardinality.",

keywords = "Multivariate generating function, Restricted growth word, Set partition",

author = "Richard Ehrenborg and Dustin Hedmark and Cyrus Hettle",

year = "2017",

language = "English",

volume = "20",

number = "5",

}

TY - JOUR

T1 - A restricted growth word approach to partitions with odd/even size blocks

AU - Ehrenborg, Richard

AU - Hedmark, Dustin

AU - Hettle, Cyrus

PY - 2017

Y1 - 2017

N2 - We use restricted growth words and multivariate generating functionology to obtain the ordinary generating function for the number of partitions of an n-set into k blocks of odd (respectively, even) cardinality.

AB - We use restricted growth words and multivariate generating functionology to obtain the ordinary generating function for the number of partitions of an n-set into k blocks of odd (respectively, even) cardinality.

KW - Multivariate generating function

KW - Restricted growth word

KW - Set partition

UR - http://www.scopus.com/inward/record.url?scp=85018408321&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85018408321&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85018408321

SN - 1530-7638

VL - 20

JO - Journal of Integer Sequences

JF - Journal of Integer Sequences

IS - 5

ER -

A restricted growth word approach to partitions with odd/even size blocks

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Other files and links

Fingerprint

Cite this